Mass transfer for creeping flow around a gas bubble

Input(s)

DAB\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}: Diffusivity (cm2/s)\left(\mathrm{cm}^{2} / \mathrm{s}\right)

vv_{\infty}: Velocity (cm/s)(\mathrm{cm} / \mathrm{s})

D: Diameter of Bubble (cm)(\mathrm{cm})

CAO\boldsymbol{C}_{\boldsymbol{A} \boldsymbol{O}}: Concentration (gmol/cm)(\mathrm{g} \mathrm{mol} / \mathrm{cm})

Output(s)

NAOavg N_{\text {AOavg }}: Molar Flux Average (mol/cm2 s)\left(\mathrm{mol} / \mathrm{cm}^{2} \mathrm{~s}\right)

Formula(s)

NAOavg=CAO((4DABv3πD)0.5)\mathrm{N}_{\mathrm{AOavg}}=\mathrm{C}_{\mathrm{AO}} *\left(\left(\frac{4 * \mathrm{D}_{\mathrm{AB}} * \mathrm{v}_{\infty}}{3 * \pi * \mathrm{D}}\right)^{0.5}\right)

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 20, Page: 637.


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